Pith Number

pith:O7CV2WQX

pith:2011:O7CV2WQXW7QSYMHGUABP4DKB3R

not attested not anchored not stored refs pending

A class of quadratic difference equations on a finite graph

Paul Baird

arxiv:1109.3286 v1 · 2011-09-15 · math-ph · math.CO · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O7CV2WQXW7QSYMHGUABP4DKB3R}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T04:12:57.095741Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77c55d5a17b7e12c30e6a002fe0d41dc727748ae3b6a6b27237b3f071e5d36f3

Aliases

arxiv: 1109.3286 · arxiv_version: 1109.3286v1 · doi: 10.48550/arxiv.1109.3286 · pith_short_12: O7CV2WQXW7QS · pith_short_16: O7CV2WQXW7QSYMHG · pith_short_8: O7CV2WQX

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/O7CV2WQXW7QSYMHGUABP4DKB3R \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 77c55d5a17b7e12c30e6a002fe0d41dc727748ae3b6a6b27237b3f071e5d36f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22f1cc6a030acf1106e3c4771ae2082494031aade94c2bf698d4365b5caad454",
    "cross_cats_sorted": [
      "math.CO",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-09-15T08:22:37Z",
    "title_canon_sha256": "99c80ecee72f1eb8415d6fe622d2ba0bcd32f216f045c00769909ed26dc8ca3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.3286",
    "kind": "arxiv",
    "version": 1
  }
}